Figure of merit based on the spectral test. More...

#include <Spectral.h>

Public Types
typedef NORM	Normalizer

Public Member Functions
	Spectral (Real power=1.0)
	Constructor.
bool	symmetric () const
Real	power () const
	Returns the power parameter.
std::string	name () const
template<EmbeddingType ET, Compress COMPRESS, PerLevelOrder PLO = defaultPerLevelOrder<LatticeType::ORDINARY, ET>::Order>
Evaluator< Spectral, LatticeType::ORDINARY, ET, COMPRESS, PLO >	evaluator (Storage< LatticeType::ORDINARY, ET, COMPRESS, PLO > storage) const
	Creates an evaluator for the projection-dependent figure of merit.
Public Member Functions inherited from LatBuilder::ProjDepMerit::Base< Spectral< NORM > >
Storage< LR, ET, COMPRESS, PLO >::MeritValue	operator() (const Storage< LR, ET, COMPRESS, PLO > &storage, const LatDef< LR, ET > &lat, const LatticeTester::Coordinates &projection) const
	Computes the value of the figure of merit of lattice `lat` for projection `projection`.
std::string	name () const
	Returns the name of the figure of merit.
bool	symmetric () const
	Returns `true` if the value of the figure of merit is invariant under a reflection of the generating vector \(\boldsymbol a=(a_1, \dots, a_s)\) along any axis such that \(a_j \mapsto n - a_j\), where \(n\) is the number of points in the lattice point set.
Evaluator< Spectral< NORM >, LR, ET, COMPRESS, PLO >	evaluator (const Storage< LR, ET, COMPRESS, PLO > &storage) const
	Creates an evaluator for the projection-dependent figure of merit.
Spectral< NORM > &	derived ()
Real	power () const

Static Public Member Functions
static constexpr Compress	suggestedCompression ()
template<EmbeddingType ET, Compress COMPRESS, PerLevelOrder PLO>
static Storage< LatticeType::ORDINARY, ET, COMPRESS >	asAcceptableStorage (Storage< LatticeType::ORDINARY, ET, COMPRESS, PLO > storage)

Detailed Description

template<class NORM>
class LatBuilder::ProjDepMerit::Spectral< NORM >

Figure of merit based on the spectral test.

Implements the computation of the inverse length of the shortest dual vector in a lattice.

The value of the figure of merit is the normalized inverse length of the shortest dual vector, raised to a user-specified power.

Template Parameters

NORM	Normalizer type.

Examples: tutorial/MeritSeqCBC.cc, tutorial/MeritSeqCBCSignals.cc, tutorial/WeightedFigureOfMerit.cc, tutorial/WeightedFigureOfMeritCBC.cc, and tutorial/WeightedFigureOfMeritSignals.cc.

Constructor & Destructor Documentation

template<class NORM>

LatBuilder::ProjDepMerit::Spectral< NORM >::Spectral ( Real power = 1.0 )

inline

Constructor.

Parameters

power Exponent to which the contribution for each contribution is raised.

References power(), and Spectral().

Referenced by Spectral().

The documentation for this class was generated from the following file: